Three Body Problem - Statistical (almost) Solution

  • Context: Graduate 
  • Thread starter Thread starter Tom.G
  • Start date Start date
  • Tags Tags
    Body Statistical
Click For Summary
SUMMARY

The discussion centers on recent advancements in solving the Three Body Problem using deep artificial neural networks (DNNs). Two significant preprints are highlighted: one from Nature (https://www.nature.com/articles/s41586-019-1833-8) and another from arXiv (https://arxiv.org/abs/1910.07291). These studies demonstrate that DNNs can approximate the functions generated by numerical integrators, providing a constant-computational cost solution, although the term "solved" may be an overstatement.

PREREQUISITES
  • Understanding of the Three Body Problem in classical mechanics
  • Familiarity with deep learning concepts and architectures
  • Knowledge of numerical integration techniques
  • Experience with arXiv and academic research papers
NEXT STEPS
  • Research the implications of using DNNs for approximating numerical integrators
  • Explore the full preprint on arXiv regarding the Three Body Problem (https://arxiv.org/abs/1909.05272)
  • Investigate other applications of DNNs in solving complex physical problems
  • Learn about the limitations and challenges of using DNNs in scientific computations
USEFUL FOR

Researchers in computational physics, machine learning practitioners, and anyone interested in the intersection of artificial intelligence and classical mechanics.

Astronomy news on Phys.org
gleem said:
Another group using deep artificial neural net approach has also solved the Three Body Problem.
https://arxiv.org/abs/1910.07291
"Solved" is maybe too strong a word for that paper... DNN's are trained to approximate the functions produced by numerical integrators. This leads to a constant-computational cost approximate solution. As far as I can tell anyways...
 
  • Like
Likes   Reactions: mfb

Similar threads

  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 76 ·
3
Replies
76
Views
8K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 135 ·
5
Replies
135
Views
11K
  • · Replies 23 ·
Replies
23
Views
5K